Your view of having a good feeling about a person who may not harm rather benefit you is best characterized as one of trust.
Trust refers to a belief in the probability that an individual will behave in specific ways. It is an abstract mental attitude toward the reliability of a character and their dependability. Simply put, trust is a feeling of confidence and security about the potential behavior of a person. It is to believe that an individual is good and honest and will not cause any harm. Hence, in the case given as the individual you met is associated with a good feeling who will not harm you and may even benefit you, you have formed a belief of trust toward the person.
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